Devoted to counterparts of classical structures of mathematical analysis in analysis over local fields of positive characteristic, this book treats positive characteristic phenomena from an analytic viewpoint. Building on the basic objects introduced by L. Carlitz - such as the Carlitz factorials, exponential and logarithm, and the orthonormal system of Carlitz polynomials - the author develops a kind of differential and integral calculi. He also expands on the basics of an analytic theory of (Carlitz's) differential equations, providing a useful foundation for the study of various special functions. The differential calculus is extended to a type of Rota's umbral calculus, and an investigation is made of the corresponding rings of differential operators. A theory of quasi-holonomic modules over these rings, having some common features with holonomic modules in the sense of Bernstein, is also connected to some special functions in the spirit of Zeilberger's theory.
Around the world, on average, four coal miners die for each million tons of coal recovered. Improving the safety of mining work while responding to the need for increased coal production, however, is
This book examines the application of complex analysis methods to the theory of prime numbers. In an easy to understand manner, a connection is established between arithmetic problems and those of zer
Around the world, on average, four coal miners die for each million tons of coal recovered. Improving the safety of mining work while responding to the need for increased coal production, however, is
:This book provides a comprehensive reference work on this ubiquitous group of microorganisms for the biomedical community, and intends to stimulate further research into the biochemistry and physiolo
What a swashbuckling read! A dashingly illustrated hardcover packed with facts and trivia, this comprehensive volume explains it all, in thrilling detail: who the pirates of the past really were, the
The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clear
Stability of Equilibrium of Structures and Related Problems (In 3 Volumes) is a systematic presentation of mathematical statements and methods of solution for problems of structural stability. It also
This volume presents the directorial theory of Russian theater director Anatoly Efros (1925-1987), famed for his work with the Central Children's Theater in Moscow and the Malaya Bronnaya Theater. His
The second half of a two-volume work, this?set is?intended for a broad range of chess enthusiasts. The author?believes that anyone making a thorough study of the available material can expect an impro
The well-known grandmaster and theoretician Evgeny Sveshnikov has used the Closed Variation (1.e4 e6 2.d4 d5 3.e5) more than 150 times in tournament play, with a score of more than 70 percent. Many th
